Effective phase dynamics of noise-induced oscillations in excitable systems
Chaotic Dynamics
2010-10-04 v2
Abstract
We develop an effective description of noise-induced oscillations based on deterministic phase dynamics. The phase equation is constructed to exhibit correct frequency and distribution density of noise-induced oscillations. In the simplest one-dimensional case the effective phase equation is obtained analytically, whereas for more complex situations a simple method of data processing is suggested. As an application an effective coupling function is constructed that quantitatively describes periodically forced noise-induced oscillations.
Keywords
Cite
@article{arxiv.1002.0459,
title = {Effective phase dynamics of noise-induced oscillations in excitable systems},
author = {Justus T. C. Schwabedal and Arkady Pikovsky},
journal= {arXiv preprint arXiv:1002.0459},
year = {2010}
}
Comments
This paper has been withdrawn by the author due to errors in Fig. 3 and faulty conclusions drawn from Fig. 4